Best Known (207−86, 207, s)-Nets in Base 4
(207−86, 207, 130)-Net over F4 — Constructive and digital
Digital (121, 207, 130)-net over F4, using
- t-expansion [i] based on digital (105, 207, 130)-net over F4, using
- net from sequence [i] based on digital (105, 129)-sequence over F4, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130, using
- T7 from the second tower of function fields by GarcÃa and Stichtenoth over F4 [i]
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F4 with g(F) = 105 and N(F) ≥ 130, using
- net from sequence [i] based on digital (105, 129)-sequence over F4, using
(207−86, 207, 267)-Net over F4 — Digital
Digital (121, 207, 267)-net over F4, using
(207−86, 207, 4417)-Net in Base 4 — Upper bound on s
There is no (121, 207, 4418)-net in base 4, because
- the generalized Rao bound for nets shows that 4m ≥ 42470 024961 831881 418535 516538 291602 875690 992176 718632 107621 897622 894130 488320 703825 570007 007783 971019 533575 765384 695884 244640 > 4207 [i]